76051872 has 240 divisors, whose sum is σ = 251437032. Its totient is φ = 22394880.

The previous prime is 76051861. The next prime is 76051883. The reversal of 76051872 is 27815067.

76051872 is a `hidden beast` number, since 76 + 0 + 518 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (76051861) and next prime (76051883).

It can be written as a sum of positive squares in 4 ways, for example, as 47279376 + 28772496 = 6876^2 + 5364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1246722 + ... + 1246782.

Almost surely, 2^76051872 is an apocalyptic number.

76051872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718516).

76051872 is an abundant number, since it is smaller than the sum of its proper divisors (175385160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76051872 is a wasteful number, since it uses less digits than its factorization.

76051872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 76051872 is about 8720.7724428516. The cubic root of 76051872 is about 423.6787052113.

The spelling of 76051872 in words is "seventy-six million, fifty-one thousand, eight hundred seventy-two".